By B. P. Hildebrand
Since the 1st papers via E. N. Leith and J. Upatnieks as regards to holography seemed in 1961, there was a digital explosion of study task within the box. greater than 500 papers and articles on holo graphy have seemed within the final ten years. Many functions of holo graphy were proposed, and a few of those are commencing to input the world of usefulness. one of many functions that looks to carry nice promise is acoustic imaging by way of holography. the 1st papers in this topic seemed in 1966, yet already learn job within the box is burgeoning. 3 symposia thoroughly dedicated to acoustical holography were held and the papers released in publication shape. The purposeof this e-book is to compile the result of study in acoustical holography, a few of it as but unpublished, below one conceal in order that staff in holography, nondestructive checking out, clinical imaging, underwater imaging, and seismic exploration can come to a decision no matter if this new procedure will be necessary to them.
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Extra resources for An Introduction to Acoustical Holography
F3:;:::::-.. OB JECT 2 REFERENCE WAVf. \~ 1111 WAVf. RECORDING PlANE CONJUGATE IMAGE WAVf. TRUE IMAGE (V I RTUALI sin -1 (2 sin 1112 - sin 11111 . / RECONSTRUCTION WAVf. V. z )J1i;:::::,.... 1111 y' Y TRUE IMAGE WAVf. HOLOGRAM WAVE Fig. 7. The physical relationship between object, reference, reconstruction and image waves for Leith-Upatnieks holography is shown here. In this case we are illuminating the hologram so as to obtain the true image. Note the complete physical separation of the various waves.
When R = O. It will be useful for future reference to consider the energy of an oscillating system or at least of this system, and similar systems that are simple harmonie in nature. At any given instant, the total energy of the system is partly the potential energy of the spring and partly the kinetic energy of the moving mass. This energy is being dissipated by the dash pot, but at the instant that y = 0 the potential energy of the spring vanishes and the kinetic energy of the block represents the total energy of the system.
We could have introduced distortion ofthe image in our discussion of magnification, since that is where it arises. However, in connection with scanned holography, which we discuss later in this book, we introduce a very important concept that allows one to overcome this type of distortion. Consequently, we fee! this discussion is appropriate to include here. Ifwe consider the magnification equations, we see that radial magnification has, in general, a different magnitude than the lateral magnification.
An Introduction to Acoustical Holography by B. P. Hildebrand